IJPAM: Volume 113, No. 1 (2017)

Title

ON THE TERMINAL WIENER INDICES OF
POLYCYCLIC AROMATIC HYDROCARBONS PAH$_s$

Authors

M. Rezaei$^1$, M.K. Jamil$^2$, M.R. Farahani$^3$, Z. Foruzanfar$^4$
$^1$Department of Mathematics
Buein Zahra Technical University
Buein Zahra, Qazvin, IRAN
$^2$Department of Mathematics
Riphah Institute of Computing and Applied Sciences (RICAS)
Riphah International University
Lahore, PAKISTAN
$^3$Department of Applied Mathematics
Iran University of Science and Technology (IUST)
Narmak, Tehran 16844, IRAN
$^4$Department of Engineering Sciences and Physics
Buein Zahra Technical University
Buein Zahra, Qazvin, IRAN

Abstract

The Wiener index of a simple connected graph is defined as the sum of all distances between distinct vertices of the graph $G$, and the terminal wiener index is the sum of all distances between distinct pendent vertices of the graph $G$. Polycyclic Aromatic Hydrocarbons are important hydrocarbons, which are organic compounds containing only carbon and hydrogen. In this paper, we reformulate the terminal Wiener index with the help of orthogonal cuts and compute the terminal Wiener index of Polycyclic Aromatic Hydrocarbons.

History

Received: October 10, 2016
Revised: January 12, 2017
Published: February 28, 2017

AMS Classification, Key Words

AMS Subject Classification: 05C12, 05C90
Key Words and Phrases: molecular graph, polycyclic aromatic hydrocarbons, Wiener index, hyper-Wiener index, terminal Wiener index, orthogonal cuts

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How to Cite?

DOI: 10.12732/ijpam.v113i1.6 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 113
Issue: 1
Pages: 49 - 57


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